If a vehicle travels at a constant or uniform speed, the formula that relates distance, speed and time is:

Distance = speed time

### First Case Scenario

The vehicles are travelling towards one another.

Two cities, A and B are located 300 miles from each other. At 9 am, a car leaves City A with a speed of 90 mph and travels towards City B. At the same time, a car leaves City B travelling towards City A with a speed of 60 mph. Find:

1 The time it takes for the cars to pass each other.

hours

2 The time at which they passed each other.

They were at 11 of the morning.

3 The distance traveled by each at the time of them passing each other.

miles

miles

### Second Case Scenario

The vehicles are travelling in the same direction from different starting points.

Two cities, A and B are located on the same east-west highway, 180 miles from each other. At 9 am, a car leaves each city, both travelling east. The car that leaves City A travels at 90 mph, and the car that leaves City B travels at 60 mph. Find:

1. The time it takes for Car A to reach Car B:

hours

2. The time at which Car A reaches Car B:

Car A reaches Car B at 3 in the afternoon.

3. The distance traveled by each at the time of Car A reaching Car B:

miles

miles

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### Third Case Scenario

The vehicles are travelling in the same direction with the same starting point.

A car leaves a city with a speed of 90 mph. Three hours later and out of the same city another car in pursuit of the first leaves with a speed of 120 mph. Find:

1. The time it takes for the second car to reach the first.

hours

2. The distance from the city when the second car reaches the first.

miles

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